Hi! I appreciate your help with the result and approach for these questions. Thanks!

Suppose that X, Y, and Zare independent, with E [X] = E [Y] = E [Z] = 2, and E [X2] = E[Y2] = E[Z2] = 5. Find cmr (XY, XZ). [Enter a numerical answer.) Gov (XY,XZ) = Submit You have used 0 of 3 attempts Save Problem 2. Problem 1le 2.0 points possible (graded, results hidden) Let X be a standard normal random variable. Another random variable is determined as follows. We flip a fair coin [independent from X}. In case of Heads, we let Y = X. in case of Tails, we let Y = -X. 1. Is Y normal? Justify your answer. 0 yes 0 no 0 not enough information to determine 2. Compute Cov (X, Y]. Cov (X, Y} = Are X and Y independent? 0 yes